Finding the Third Proportional to 77,978.25 and 168,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,978.25 : 168,916.50 = 168,916.50 : x
2. Step 2: Convert to fraction form
   77,978.25/168,916.50 = 168,916.50/x
3. Step 3: Cross multiply
   77,978.25x = 168,916.50 × 168,916.50
4. Step 4: Simplify right side
   77,978.25x = 28,532,783,972.25
5. Step 5: Solve for x
   x = 28,532,783,972.25/77,978.25
6. Step 6: Final answer
   x = 365,906.95